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On $p$-Dunford integrable functions with values in Banach spaces | | J.M. Calabuig
; J. Rodríguez
; P. Rueda
; E.A. Sánchez-Pérez
; | | Date: |
24 Nov 2016 | | Abstract: | Let $(Omega,Sigma,mu)$ be a complete probability space, $X$ a Banach space
and $1leq p<infty$. In this paper we discuss several aspects of $p$-Dunford
integrable functions $f:Omega o X$. Special attention is paid to the
compactness of the Dunford operator of $f$. We also study the $p$-Bochner
integrability of the composition $ucirc f:Omega o Y$, where $u$ is a
$p$-summing operator from $X$ to another Banach space $Y$. Finally, we also
provide some tests of $p$-Dunford integrability by using $w^*$-thick subsets of
$X^*$. | | Source: | arXiv, 1611.8087 | | Services: | Forum | Review | PDF | Favorites | |
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